Discovery Projects - Grant ID: DP180103891

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180103891

Funding Status
Active

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Funded Activity Summary

Frobenius manifolds from a geometrical and categorical viewpoint. This project aims to provide connections between Frobenius manifolds obtained from algebraic curves in diverse ways. The different constructions, using complex geometry on the one hand and category theory on the other, provide, respectively, a quantitative and qualitative view on the same Frobenius manifold. Together, these distinct points of view allow for the calculation of previously inaccessible physical quantities, and point to deep new relations between algebraic, complex and differential geometry. These relations are expected to guide new fundamental research on the border of mathematics and physics.

Funded Activity Details

Start Date: 02-03-2018

End Date: 01-10-2023

Funding Scheme: Discovery Projects

Funding Amount: $371,950.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Pure Mathematics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Pure Mathematics

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